Question

Which equation represents the line that is parallel to 3x-4y=7 equals seven and passes through the point -4 -2

Answer 1

`y=(3)/(4)x+1`

Explanation:

To find a line parallel, it must have the same slope. The slope of the line is 3/4. This can be found by converting the standard form to slope intercept form.

3x-4y=7 ---> -4y=7-3x ---> y=-7/4 +3/4 x

To write the equation, substitute the slope and the point (-4,-2) into

`(y-y_1)=m(x-x_1)`

`(y--2)=(3)/(4)(x--4)\\(y+2)=(3)/(4)(x+4)\\y+2=(3)/(4)x+3\\y=(3)/(4)x+1`